Many-particle quantum graphs and Bose-Einstein condensation

DOI10.1063/1.4879497zbMath1296.82021arXiv1309.6091OpenAlexW3100962392MaRDI QIDQ5171387

Jens Bolte, Joachim Kerner

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6091

zbMATH Keywords

eigenvaluephase transitionboundary value problemBose-Einstein condensatesBose gasTonks-Girardeau gas

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Irreversible thermodynamics, including Onsager-Machlup theory (82B35) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Bose-Einstein condensation in the Luttinger-Sy model with contact interaction ⋮ On bound electron pairs on the half-line ⋮ Exactly solvable interacting two-particle quantum graphs ⋮ Many-Particle Quantum Graphs: A Review ⋮ An Asymptotic Expansion of the Trace of the Heat Kernel of a Singular Two-particle Contact Interaction in One-dimension ⋮ NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph ⋮ Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations ⋮ Solvable models of interacting 𝑛-particle systems on quantum graphs

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